Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium

2021 ◽  
Author(s):  
Rajneesh Kumar ◽  
Sachin Kaushal ◽  
Vikram Dahiya
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Thermoelastic Medium ◽  
Thick Circular Plate ◽  
Modified Couple Stress ◽  
Phase Lags

Effects of Phase-Lag on Thick Circular Plate with Heat Sources in Modified Couple Stress Thermoelastic Medium

2016 ◽  
Vol 32 (6) ◽  
pp. 665-671 ◽  
Author(s):  
R. Kumar ◽  
S. Devi
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Mathematical Formulation ◽  
Phase Lag ◽  
Heat Sources ◽  
Thermoelastic Medium ◽  
Conduction Model ◽  
Three Phase ◽  
Thick Circular Plate ◽  
Modified Couple Stress

AbstractThe main objective of the present paper is to analyze the effects of phase-lag on thick circular plate with heat sources in modified couple stress thermoelastic medium. The mathematical formulation is prepared for three-phase-lag heat conduction model subjected to prescribed normal heat flux along with stress free boundary. Laplace and Hankel transforms are used to deal the problem. The displacements, stresses and temperature change are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. The results obtained numerically for these quantities are presented graphically. Some particular cases are also discussed in the present problem.

Axisymmetric Distributions of Thick Circular Plate in a Modified Couple Stress Theory

2015 ◽  
Vol 03 (03n04) ◽  
pp. 1550004 ◽  
Author(s):  
Rajneesh Kumar ◽  
Marin Marin ◽  
Ibrahim A. Abbas
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Chemical Potential ◽  
Couple Stress Theory ◽  
Elastic Solid ◽  
Modified Couple Stress Theory ◽  
Stress Theory ◽  
Stress Components ◽  
Thick Circular Plate ◽  
Modified Couple Stress

In this paper, the two-dimensional axisymmetric distributions of thick circular plate in modified couple stress theory with heat and mass diffusive sources is investigated. The problem is considered in the context of the theories of thermodiffusion elastic solid with one and two relaxation time developed by Sherief et al. [Int. J. Eng. Sci. 42, 591 (2004)] and Kumar and Kansal [Int. J. Solid Struct. 45, 5890 (2008)] by using Laplace and Hankel transforms technique. The displacements, stress components, temperature change and chemical potential are obtained in transformed domain. Particular cases of interest are also deduced.

scholarly journals Effects of two temperatures and thermal phase-lags in a thick circular plate with axisymmetric heat supply

2016 ◽  
Vol 3 (1) ◽  
pp. 1129811 ◽  
Author(s):  
Rajneesh Kumar ◽  
Nidhi Sharma ◽  
Parveen Lata ◽  
Xiao-Jun Yang
Keyword(s):  
Circular Plate ◽  
Heat Supply ◽  
Thermal Phase ◽  
Thick Circular Plate ◽  
Phase Lags ◽  
Two Temperatures

Investigation of pull-in behavior of circular nanoplate actuator based on the modified couple stress theory

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ming-Xian Lin ◽  
Chao Kuang Chen
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Nonlinear Behavior ◽  
Modified Couple Stress Theory ◽  
Length Scale ◽  
Plate Model ◽  
Content Type ◽  
Stress Theory ◽  
Modified Couple Stress

Purpose This paper aims to present a nonclassical circular plate model subjected to hydrostatic pressure and electrostatic actuations by considering the modified couple stress theory and the surface elasticity theory. The pull-in phenomenon and nonlinear behavior of circular nanoplate are investigated. Design/methodology/approach The hybrid differential transformation method (DTM) and finite difference method (FDM) are used to approach the model. The DTM was first applied to the equation with respect to the time, and then the FDM was applied with respect to the radius. Findings The numerical results were in agreement with the numerical data in the previous literature. The effects of the length scale parameters, surface parameters, thermal stress, residual stress, hydrostatic pressure and electrostatic actuations of the nonclassical circular plate on the pull-in instability are investigated. The parametric study demonstrated that the pull-in behavior of the circular nanoplate was size dependent. Originality/value In this study, the results provide a suitable method in a nonclassical circular plate model. The length scale parameter had an obvious effect on the nonlinear behavior of the circular nanoplate.

scholarly journals Resonance of Nanoscale Beam due to Various Sources in Modified Couple Stress Thermoelastic Diffusion with Phase Lags

2019 ◽  
Vol 23 (1) ◽  
pp. 36-49
Author(s):  
Rajneesh Kumar ◽  
Shaloo Devi ◽  
Veena Sharma
Keyword(s):  
Laplace Transform ◽  
Couple Stress ◽  
Chemical Potential ◽  
Inverse Laplace Transform ◽  
Phase Lag ◽  
Thermoelastic Diffusion ◽  
Special Cases ◽  
Laplace Transform Technique ◽  
Modified Couple Stress ◽  
Phase Lags

Abstract This paper deals with the study of thermoelastic thin beam in a modified couple stress with three-phase-lag thermoelastic diffusion model subjected to thermal and chemical potential sources. The governing equations are derived by using the Euler-Bernoulli beam assumption and eigenvalue approach. The Laplace transform technique is employed to obtain the expressions for displacements, lateral deflection, temperature change, axial stress and chemical potential. A particular type of instantaneous and distributed sources is taken to show the utility of the approach. The general algorithm of the inverse Laplace transform is developed to compute the results numerically. The numerical results are depicted graphically to show the effects of phase lags, with and without energy dissipation on the resulting quantities. Some special cases are given.

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